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Simplifying 7(x + 3) + 7(x + 3) = 6x + 6 Reorder the terms: 7(3 + x) + 7(x + 3) = 6x + 6 (3 * 7 + x * 7) + 7(x + 3) = 6x + 6 (21 + 7x) + 7(x + 3) = 6x + 6 Reorder the terms: 21 + 7x + 7(3 + x) = 6x + 6 21 + 7x + (3 * 7 + x * 7) = 6x + 6 21 + 7x + (21 + 7x) = 6x + 6 Reorder the terms: 21 + 21 + 7x + 7x = 6x + 6 Combine like terms: 21 + 21 = 42 42 + 7x + 7x = 6x + 6 Combine like terms: 7x + 7x = 14x 42 + 14x = 6x + 6 Reorder the terms: 42 + 14x = 6 + 6x Solving 42 + 14x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 42 + 14x + -6x = 6 + 6x + -6x Combine like terms: 14x + -6x = 8x 42 + 8x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + 8x = 6 + 0 42 + 8x = 6 Add '-42' to each side of the equation. 42 + -42 + 8x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 8x = 6 + -42 8x = 6 + -42 Combine like terms: 6 + -42 = -36 8x = -36 Divide each side by '8'. x = -4.5 Simplifying x = -4.5
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